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Finding the Fourth Proportional to 1,661, 2,492.38 and 1,576.54

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Solution

The fourth proportional to 1,661, 2,492.38 and 1,576.54 is: 2,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661 : 2,492.38 = 1,576.54 : x
  2. Step 2: Convert to fraction form
    1,661/2,492.38 = 1,576.54/x
  3. Step 3: Cross multiply
    1,661x = 2,492.38 × 1,576.54
  4. Step 4: Simplify right side
    1,661x = 3,929,324.30
  5. Step 5: Solve for x
    x = 3,929,324.30/1,661
  6. Step 6: Final answer
    x = 2,365.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.